Q
What is the determinant of a scaling matrix?

Answer & Solution

Answer: Option C
Solution:
The determinant of a scaling matrix depends on the scaling factor.
Related Questions on Average

What is the result of applying two translation matrices successively?

A). The object is scaled

B). The object is rotated

C). The object is translated twice

D). The order of translation does not matter

How does a negative determinant affect a transformation?

A). Inverts the transformation

B). Scales the transformation

C). Reflects the transformation

D). Rotates the transformation

Which matrix operation is used for scaling?

A). Addition

B). Subtraction

C). Multiplication

D). Division

What happens when you apply a translation matrix?

A). Rotates the object

B). Scales the object

C). Moves the object

D). Skews the object

What happens to a vector multiplied by the zero matrix?

A). It is rotated

B). It is scaled

C). It becomes a zero vector

D). It becomes an identity vector

What is the result of multiplying two orthogonal matrices?

A). A diagonal matrix

B). A non-orthogonal matrix

C). An identity matrix

D). A reflection matrix

What does a translation matrix look like?

A). [[1, 0], [0, 1]]

B). [[0, 1], [1, 0]]

C). [[1, 0, tx], [0, 1, ty], [0, 0, 1]]

D). [[1, tx], [ty, 1]]

What does a scaling matrix look like?

A). [[1, 0], [0, 1]]

B). [[0, 1], [1, 0]]

C). [[s, 0], [0, s]]

D). [[0, s], [s, 0]]

What does the identity matrix do?

A). Scales the object

B). Moves the object

C). Rotates the object

D). Leaves the object unchanged

What does a rotation matrix for 90 degrees look like?

A). [[1, 0], [0, 1]]

B). [[0, -1], [1, 0]]

C). [[0, 1], [-1, 0]]

D). [[-1, 0], [0, -1]]